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Odd Hamiltonian
superalgebras and special odd Hamiltonian superalgebras of
formal vector fields
Li Ren, Qiang Mu and Yongzheng Zhang |
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Vol. 257 (2012), No. 2, 471–489
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Abstract |
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The natural filtrations of odd Hamiltonian superalgebras and special odd Hamiltonian superalgebras of formal vector fields are proved to be invariant under their automorphism group respectively, by determining the set of ad-quasi-nilpotent elements. Thereby, the automorphism groups of these Lie superalgebras are determined. |
Keywords
superalgebra of formal vector fields, ad-nilpotent element,
filtration, continuous automorphism
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Mathematical Subject Classification 2010
Primary: 17B40, 17B65, 17B66
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Milestones
Received: 22 September 2011
Revised: 27 October 2011
Accepted: 7 November 2011
Published: 4 July 2012
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Authors |
| Li Ren | |
| School of Mathematics and
Statistics Northeast Normal University Changchun, 130024 China |
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| Qiang Mu | |
| School of Mathematical
Sciences Harbin Normal University Harbin, 150025 China |
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| Yongzheng Zhang | |
| School of Mathematics and
Statistics Northeast Normal University Changchun, 130024 China |
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